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Andreyy89
2 years ago
12

Which expression represents the approximate length

Mathematics
1 answer:
Viktor [21]2 years ago
8 0

The expression that represents the approximate length of BC is; A: (3) sin(66)/sin (38)

<h3>Trigonometric Ratios</h3>

From the given triangle ABC, we see that;

∠A = 66°

∠C = 38°

AB = 3

Thus using sine rule, we have;

AB/sin C = BC/sin A

3/sin 38 = BC/sin 66

BC = (3sin 66)/sin 38

BC = 4.45

Read more about Sine rule at;brainly.com/question/4372174

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Patricia is making two sizes of hamburgers: 0.5 pound and 0.25 pound. How many of each size of hamburger could she make with 3.7
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Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x-----> the number of hamburgers of 0.5 pounds

y-----> the number of hamburgers of 0.25 pounds

we know that

The inequality that represent the situation is equal to

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see the attached figure

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Determine whether the statement is true or false. Justify your answers.
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Answer:

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis. ⇒ False

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis. ⇒ False

Step-by-step explanation:

<em>Let us explain the reflection about the axes</em>

  • If a graph is reflected about the x-axis, then the y-coordinates of all points on it will opposite in sign

Ex: if a point (2, -3) is on the graph of f(x), and f(x) is reflected about the x-axis, then the point will change to (2, 3)

  • That means reflection about the x-axis change the sign of y
  • y = f(x) → reflection about x-axis → y = -f(x)

  • If a graph is reflected about the y-axis, then the x-coordinates of all points on it will opposite in sign

Ex: if a point (-2, -5) is on the graph of f(x), and f(x) is reflected about the y-axis, then the point will change to (2, -5)

  • That means reflection about the y-axis change the sign of x
  • y = f(x) → reflection about y-axis → y = f(-x)

<em>Now let us answer our question</em>

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis.

It is False because reflection about x-axis change sign of y

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the x-axis

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis.

It is False because reflection about y-axis change sign of x

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When is a sum of a geometric sequence finit and when is it infinite?
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